Robust adaptive state-feedback control of linear time-varying systems under both potentially unbounded system's modeling uncertainty and external disturbance

TL;DR

This paper introduces a novel robust adaptive state-feedback control method for linear time-varying systems that ensures stability despite unbounded uncertainties and disturbances, using a logarithmic norm-based approach.

Contribution

It presents a new control design combining adaptive and robust components based on logarithmic norms for LTV systems with large uncertainties and disturbances.

Findings

Ensures global asymptotic stability of LTV systems

Effective against unbounded modeling uncertainties

Handles nonlinear external disturbances

Abstract

The conceptually new approach based on the logarithmic norm to design of robust adaptive state-feedback controller for linear time-varying (LTV) systems under system's modeling uncertainty and nonlinear external disturbance is proposed. This controller, consisting of two independent parts - adaptive and robust ones - globally asymptotically stabilizes every LTV system regardless how large the disturbance is.